7=-(5-m)+4(6-m)

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Solution for 7=-(5-m)+4(6-m) equation:


Simplifying
7 = -1(5 + -1m) + 4(6 + -1m)
7 = (5 * -1 + -1m * -1) + 4(6 + -1m)
7 = (-5 + 1m) + 4(6 + -1m)
7 = -5 + 1m + (6 * 4 + -1m * 4)
7 = -5 + 1m + (24 + -4m)

Reorder the terms:
7 = -5 + 24 + 1m + -4m

Combine like terms: -5 + 24 = 19
7 = 19 + 1m + -4m

Combine like terms: 1m + -4m = -3m
7 = 19 + -3m

Solving
7 = 19 + -3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '3m' to each side of the equation.
7 + 3m = 19 + -3m + 3m

Combine like terms: -3m + 3m = 0
7 + 3m = 19 + 0
7 + 3m = 19

Add '-7' to each side of the equation.
7 + -7 + 3m = 19 + -7

Combine like terms: 7 + -7 = 0
0 + 3m = 19 + -7
3m = 19 + -7

Combine like terms: 19 + -7 = 12
3m = 12

Divide each side by '3'.
m = 4

Simplifying
m = 4

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